Taking derivative of a transposed matrix

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The discussion centers on taking the derivative of the transposed matrix (z - m1)^T, where z is a matrix and 1 is a column vector of ones. Participants clarify that for the subtraction to be valid, z must be an n x 1 matrix rather than an n x n matrix. The correct derivative is identified as (z - 1)^T, leading to the conclusion that the derivative simplifies to -1^T. The conversation emphasizes the importance of matrix dimensions in derivative calculations. Understanding these concepts is crucial for accurate mathematical operations involving matrices.
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I have a matrix (z-m1) ^T where z is a matrix and 1 i a column where all the elements are 1. Can anyone help me with taking the derivative with respect to m?

T is for transpose.
 
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MaxManus said:
I have a matrix (z-m1) ^T where z is a matrix and 1 i a column where all the elements are 1. Can anyone help me with taking the derivative with respect to m?

T is for transpose.

z-m1 doesn't make sense to me. I'm assuming that z is an n x n matrix and 1 is an n x 1 matrix (column vector), so the subtraction is undefined.
 
Thanks, I assumed z to be an n x n matrix as well but since that doesn't make any sense it must be a n*1 matrix and then I can just use ordinary derivation and I get

(z-1)^T
 
I think it would be -1T, where 1 is as you defined it.
 
Yes of course, thanks
 
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